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Finding the Third Proportional to 69,424 and 154,976

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Solution

The third proportional to 69,424 and 154,976 is: 345,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,424 : 154,976 = 154,976 : x
  2. Step 2: Convert to fraction form
    69,424/154,976 = 154,976/x
  3. Step 3: Cross multiply
    69,424x = 154,976 × 154,976
  4. Step 4: Simplify right side
    69,424x = 24,017,560,576
  5. Step 5: Solve for x
    x = 24,017,560,576/69,424
  6. Step 6: Final answer
    x = 345,954.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.